Answer the question below:

To completely complete the data use the formula a2 + b2 = c2 in order to find the value of the missing side.

This is a general formula that can be used to find out the lenght of one of the sides in a right-angle triangle by knowing the other sides.

The general formula is:

Replace the known sides and find the third side. For example:

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Answer:

G.

Step-by-step explanation:

(3 - 5).(-4 + 10)

= -2 * 6

= -12.

Answer:

A. Perimeter

B. Sides

D. Area

Step-by-step explanation:

Suppose a triangle ABC has sides each of length a

formula:

The altitude of the triangle h equal to :

[tex]h=\frac{\sqrt{3}}{2} a[/tex]

________

Perimeter:

Let’s P be the perimeter of the triangle ABC then P = 3a

[tex]\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}[/tex]

P/h is a constant then The perimeter has a proportional relationship to the altitude

______

Sides :

[tex]\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}[/tex]

h/a is a constant then The side has a proportional relationship to the altitude

______

Area :

Let A be the area of the triangle

[tex]\frac{A}{h}=\frac{a \times h}{h}=a[/tex]

A/h is a constant then The area has a proportional relationship to the altitude

_____

Angles :

The measure Of each angle of an equilateral triangle is always equal to 60°

60/h is not a constant then there is no proportional relationship

______

Vertices:

The vertices are points and not numbers so there is no proportional relationship.

Answer:

0.65

Step-by-step explanation:

Add together 7 and 13:  there are 20 cards.

Then the theoretical probability of selecting a red card will be:

 13

------- = 0.65

 20

Answer:

Step-0.65

by-step explanation:

Convert 124 7/8 to 999/8

In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)

Answer:

c

Step-by-step explanation:

1 translates to 2 because it moves up and over

and 2 is a reflection of 3 because its a mirror image

Answer: $11.00

Step-by-step explanation: Please see attached PDF.

Answer: 116

Step-by-step explanation:

We can substitute x=-14, giving us f(-14)=-8(-14)+4=116

Answer:

D

Step-by-step explanation:

The formula for y=

y=(slope)x-(y intercept).

So, we are given -3 and -2 in the places-

y=(slope)-3x-(y intercept)-2

So, the answer is -3 and -2.

(D)

Answer:

The heaviness of displace fluid is equivalent to the buoyant force on a object that is submerged. When you get the mass from this, you may divide it by the volume in order to obtain the measure of the average density of the object.

Step-by-step explanation:

Answer:

x 3 -2x

Step-by-step explanation:

Answer:

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

We have,

The function representing the price charged by the customers is .

The function representing the number of customers is .

Then, the product of the functions is given by,

Substituting x = 2 in the above product gives,

Also, the charge per customer when x = 2 is,

Hence, the product (p-c)(2) represents,

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Answer:

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

Answer:

145 degrees.

Step-by-step explanation:

It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35

Answer:

y=8.1

Step-by-step explanation:

Answer:

Take the golf cart for the fastest time, and bragging rights.

Step-by-step explanation:

See attachment

The golf cart will make the trip in 0.383 hours, while walking would require 0.85 hours.

Answer:

a) 3x

b) 3x

c) 2 2/3 times greater

Step-by-step explanation:

The length of the rectangle:

The width of the rectangle is x. If you add the two widths together when finding perimeter, x + x, that would give you 2x.

Sum of widths: x + x = 2x

Use the sum of the widths to find the sum of the lengths by subtracting from the perimeter.

sum of lengths = perimeter - sum of widths

8x - 2x = 6x

Since there are 2 lengths divide by 2.

6x/2 = 3x

The length of the rectangle is 3x

Perimeter of the square:

The sides of the square are 1/4 of the length of the rectangle. "of" means to mulitply: (I made 3x a fraction by placing it over 1)

[tex]\frac{1}{4} (\frac{3x}{1} )[/tex] = [tex]\frac{3}{4} x[/tex]

Now find the perimeter of the square by multiplying the side length by 4.

[tex]\frac{3}{4}x(\frac{4}{1} )[/tex] = [tex]3x[/tex]

Last part:

solve the rectangle's perimeter by substituting x with 4.

P = 8x

P = 8(4)

P = 32 cm

Solve the square's perimeter by substituting x with 4.

P = 3x

P = 3(4)

P = 12 cm

Divide the rectangle's perimeter by the square's perimeter.

32/12 = 2 2/3 times bigger.

Answer:

Step-by-step explanation:

Given system of equations

Express the first equation as

Substitute the value of y into second equation

Solve for x

Find the value of y

Answer:

(-5, 9)

Step-by-step explanation:

Given system of linear equations:

[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]

To solve by substitution, use arithmetic operations to isolate y in Equation 1:

[tex]\implies -2x-y=1[/tex]

[tex]\implies -2x-y+y=1+y[/tex]

[tex]\implies -2x=1+y[/tex]

[tex]\implies -2x-1=1+y-1[/tex]

[tex]\implies y=-2x-1[/tex]

Substitute the expression for y into Equation 2 and solve for x:

[tex]\implies -4x-(-2x-1)=11[/tex]

[tex]\implies -4x+2x+1=11[/tex]

[tex]\implies -2x+1=11[/tex]

[tex]\implies -2x+1-1=11-1[/tex]

[tex]\implies -2x=10[/tex]

[tex]\implies -2x \div -2=10 \div -2[/tex]

[tex]\implies x=-5[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\implies -2(-5)-y=1[/tex]

[tex]\implies 10-y=1[/tex]

[tex]\implies 10-y+y=1+y[/tex]

[tex]\implies 10=1+y[/tex]

[tex]\implies 10-1=1+y-1[/tex]

[tex]\implies y=9[/tex]

Therefore, the solution to the given system of linear equations is (-5, 9).

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Answer:

Set 1: 6

Set 2: 4.5

Step-by-step explanation:

To find the mean you would add them all up and divide by the total number of points, found by counting the x's. You have one 4; three 5's, two 6's, three 7's, and one 8. You would then add this up. This adds up to 60, and there are 10 points. The mean for set one is 6.

Repeat this process for set b. For this one you would get 4.5

Answer:

1

Step-by-step explanation:

1>1 NO FALSE 1==1

Answer:

provide an equation

ill let you know

Answer:

Represents decay ( because .72 < 1  )

The amount decreases 72% each 'x' time period

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

100/2=50

Answer:

100 divided by 2 is 50

Step-by-step explanation:

i just did it in my head

Answer:

33

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-100x-100=0

-100x=100

x/-100=100/-100

x=-1

When you are solving for a variable your goal is to get the variable by it seff.

x = -1

- 100x = 100

Step-by-step explanation:

[tex] - 100x - 100 = 0[/tex]

Move the constant to the right side and change the sign

[tex] - 100x = 100[/tex]

Change the sign of both side of the equation

[tex]100x = - 100[/tex]

Divide both side by the same number

[tex]x = - 1[/tex]

[tex] - 100x[/tex]

[tex] - 100 \times - 1[/tex]

Remove the ( - ) sign since negative number are multiplied by even number...

[tex]100 \times 1 \\ 100[/tex]

X = 5 boxes

figure out the X for each person

Lizzy sold: 5 * 5 = 25 boxes

Suzy sold: 5 * 1 = 5 boxes

John sold: 5 * 3 = 15 boxes

Mark sold: 5 * 8 = 40 boxes

Lamar sold: 5 * 4 = 20 boxes

→ How many boxes did Lamar sell?

Answer: 20 boxes

→ How many more boxes did John sell than Suzy?

Answer: 10 boxes

workout: 15 boxes - 5 boxes = 10 boxes more

→  How many more boxes would Lizzy have to sell to equal how many Mark sold?

Answer: 15 boxes

workout: 40 boxes - 25 boxes = 15 boxes more

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

Each Cross (X) represents 5 boxes

Now, let's move on to questions :

-) 4 Cross = 4 × 5 = 20 boxes

-) (4× Cross) - (1 × cross)

-) (3 × 5) - (5)

-) 25 - 5 = 10more boxes than Suzy

-) (8 × Cross) - (5 × Cross)

-) (8 × 5) - (5 × 5)

-) 40 - 25

-) 15 more boxes to be sold to get equal to the number of boxes mark sold.

The number of rotations for the new wheel will be  1,056 rotations

Let the initial circumference be 50 rotations  (assumed)

If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:

Ne circumference = 1.2 * 50 = 60

number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations

Hence the number of rotations for the new wheel will be  1,056 rotations

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The inequality of the graph is a linear inequality

The inequality shown in the graph is y > -2x -2

The points on the graph are given as:

(x,y) = (-2,2) and (0,-2)

The slope (m) is calculatedusing:

m = (y2 - y1)/(x2 - x1)

This gives

m =(-2 - 2)/(0 + 2)

Evaluate

m = -2

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = -2(x - 0) -2

y = -2x -2

The upper part of the graph is shaded with a dotted line, so the inequality is a greater than inequality

The equation becomes

y > -2x -2

Hence, the inequality shown in the graph is y > -2x -2

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